"클리퍼드 대수"의 두 판 사이의 차이

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14번째 줄: 14번째 줄:
 
** spin connections
 
** spin connections
 
** the role of spinors in the description of the fundamental interactions between elementary particles
 
** the role of spinors in the description of the fundamental interactions between elementary particles
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<h5>history</h5>
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
  
 
 
 
 
36번째 줄: 28번째 줄:
 
* [[spin system and Pauli exclusion principle]]
 
* [[spin system and Pauli exclusion principle]]
 
* [[spin structures and spinor fields]]
 
* [[spin structures and spinor fields]]
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
 
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* http://en.wikipedia.org/wiki/
 
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* http://www.scholarpedia.org/
 
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* [http://eom.springer.de/ http://eom.springer.de]
 
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* http://www.proofwiki.org/wiki/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
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<h5>books</h5>
 
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* [[2011년 books and articles]]
 
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* http://library.nu/search?q=
 
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* http://library.nu/search?q=
 
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<h5>expositions</h5>
 
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* Lachièze-Rey, Marc. 2009. “Spin and Clifford Algebras, an Introduction”. <em>Advances in Applied Clifford Algebras</em> 19 (3-4): 687-720. doi:10.1007/s00006-009-0187-y.
 
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* [http://www.math.ucla.edu/%7Evsv/papers/ch5.pdf ][http://www.math.ucla.edu/%7Evsv/papers/ch5.pdf http://www.math.ucla.edu/~vsv/papers/ch5.pdf]
 
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* Frescura, F. A. M. 1981. “Geometric interpretation of the Pauli spinor”. <em>American Journal of Physics</em> 49: 152. doi:[http://dx.doi.org/10.1119/1.12548 10.1119/1.12548.]
 
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* Vivarelli, Maria Dina. 1984. “Development of spinor descriptions of rotational mechanics from Euler’s rigid body displacement theorem”. <em>Celestial Mechanics</em> 32 (3월): 193-207. doi:[http://dx.doi.org/10.1007/BF01236599 10.1007/BF01236599].
 
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* Coquereaux, Robert. 2005. “Clifford algebras, spinors and fundamental interactions : Twenty Years After”. <em>arXiv:math-ph/0509040</em> (9월 19). http://arxiv.org/abs/math-ph/0509040.
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
 
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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://arxiv.org/
 
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* http://www.pdf-search.org/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html]
 
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* http://dx.doi.org/
 
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<h5>question and answers(Math Overflow)</h5>
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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* http://math.stackexchange.com/search?q=
 
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* http://math.stackexchange.com/search?q=
 
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* http://physics.stackexchange.com/search?q=
 
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* http://physics.stackexchange.com/search?q=
 
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<h5>blogs</h5>
 
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*  구글 블로그 검색<br>
 
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**  http://blogsearch.google.com/blogsearch?q=<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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* http://ncatlab.org/nlab/show/HomePage
 
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<h5>experts on the field</h5>
 
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* http://arxiv.org/
 
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<h5>links</h5>
 
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
 
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
 
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 
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* http://functions.wolfram.com/
 

2012년 3월 5일 (월) 10:50 판

introduction
  • Clifford algebras may be thought of as quantizations (cf. quantization (physics), Quantum group) of the exterior algebra, in the same way that the Weyl algebra is a quantization of the symmetric algebra.

 

 

spinor
  • Spinors are classified according to Dirac, Weyl, Majorana and Weyl-Majorana spinors.
  • applications
    • spinor bundles
    • spin connections
    • the role of spinors in the description of the fundamental interactions between elementary particles

 

 

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